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122,090

122,090 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

122,090 (one hundred twenty-two thousand ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 29 × 421. Written other ways, in hexadecimal, 0x1DCEA.

Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
90,221
Square (n²)
14,905,968,100
Cube (n³)
1,819,869,645,329,000
Divisor count
16
σ(n) — sum of divisors
227,880
φ(n) — Euler's totient
47,040
Sum of prime factors
457

Primality

Prime factorization: 2 × 5 × 29 × 421

Nearest primes: 122,081 (−9) · 122,099 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 29 · 58 · 145 · 290 · 421 · 842 · 2105 · 4210 · 12209 · 24418 · 61045 (half) · 122090
Aliquot sum (sum of proper divisors): 105,790
Factor pairs (a × b = 122,090)
1 × 122090
2 × 61045
5 × 24418
10 × 12209
29 × 4210
58 × 2105
145 × 842
290 × 421
First multiples
122,090 · 244,180 (double) · 366,270 · 488,360 · 610,450 · 732,540 · 854,630 · 976,720 · 1,098,810 · 1,220,900

Sums & aliquot sequence

As a sum of two squares: 17² + 349² = 41² + 347² = 223² + 269² = 241² + 253²
As consecutive integers: 30,521 + 30,522 + 30,523 + 30,524 24,416 + 24,417 + 24,418 + 24,419 + 24,420 6,095 + 6,096 + … + 6,114 4,196 + 4,197 + … + 4,224
Aliquot sequence: 122,090 105,790 88,610 70,906 46,400 71,710 60,482 30,244 22,690 18,170 16,390 16,010 12,826 8,720 11,740 12,956 10,564 — unresolved within range

Continued fraction of √n

√122,090 = [349; (2, 2, 2, 2, 698)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand ninety
Ordinal
122090th
Binary
11101110011101010
Octal
356352
Hexadecimal
0x1DCEA
Base64
Adzq
One's complement
4,294,845,205 (32-bit)
Scientific notation
1.2209 × 10⁵
As a duration
122,090 s = 1 day, 9 hours, 54 minutes, 50 seconds
In other bases
ternary (3) 20012110212
quaternary (4) 131303222
quinary (5) 12401330
senary (6) 2341122
septenary (7) 1015643
nonary (9) 205425
undecimal (11) 83801
duodecimal (12) 5a7a2
tridecimal (13) 43757
tetradecimal (14) 326ca
pentadecimal (15) 26295

As an angle

122,090° = 339 × 360° + 50°
50° ≈ 0.873 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβϟʹ
Mayan (base 20)
𝋯·𝋥·𝋤·𝋪
Chinese
一十二萬二千零九十
Chinese (financial)
壹拾貳萬貳仟零玖拾
In other modern scripts
Eastern Arabic ١٢٢٠٩٠ Devanagari १२२०९० Bengali ১২২০৯০ Tamil ௧௨௨௦௯௦ Thai ๑๒๒๐๙๐ Tibetan ༡༢༢༠༩༠ Khmer ១២២០៩០ Lao ໑໒໒໐໙໐ Burmese ၁၂၂၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122090, here are decompositions:

  • 37 + 122053 = 122090
  • 61 + 122029 = 122090
  • 79 + 122011 = 122090
  • 97 + 121993 = 122090
  • 127 + 121963 = 122090
  • 139 + 121951 = 122090
  • 181 + 121909 = 122090
  • 223 + 121867 = 122090

Showing the first eight; more decompositions exist.

Hex color
#01DCEA
RGB(1, 220, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.234.

Address
0.1.220.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.234

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,090 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 122090 first appears in π at position 137,719 of the decimal expansion (the 137,719ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.